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Proof step 15 from proof crash-neutral-evict (previous step)

# links(m, dirs) = 0, dirs[m] = mkdir(m0, md, 0, m2, entries), afs-cons(dirs, files), m ∈ dirs ⊦ m = ROOT_INO, dirs \ orphans(dirs, files) = (dirs -- m) \ orphans(dirs -- m, files) ∧ files \ orphans(dirs, files) = files \ orphans(dirs -- m, files)

User applied rule cut formula

And obtained the following new goals

Proof step 16:
# links(m, dirs) = 0, dirs[m] = mkdir(m0, md, 0, m2, entries), entries = ∅, afs-cons(dirs, files), m ∈ dirs ⊦ m = ROOT_INO, dirs \ orphans(dirs, files) = (dirs -- m) \ orphans(dirs -- m, files) ∧ files \ orphans(dirs, files) = files \ orphans(dirs -- m, files)
Proof step 35:
# links(m, dirs) = 0, dirs[m] = mkdir(m0, md, 0, m2, entries), afs-cons(dirs, files), m ∈ dirs ⊦ entries = ∅, m = ROOT_INO, dirs \ orphans(dirs, files) = (dirs -- m) \ orphans(dirs -- m, files) ∧ files \ orphans(dirs, files) = files \ orphans(dirs -- m, files)

Rule argument

fma: entries = ∅

Additional information

Used formulas: entries = ∅